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arXiv · 2008.03839

Approximate evolution for a hybrid system: An optomechanical Jaynes-Cummings model

L. Medina-Dozal·I. Ramos-Prieto·J. Récamier
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Abstract

In this work we start from a phenomenological Hamiltonian built from two known systems: the Hamiltonian of a pumped optomechanical system and the Jaynes Cummings Hamiltonian. Using algebraic techniques we construct an approximate time evolution operator $\hat U_{opt}$ for the forced optomechanical system (as a product of exponentials) and take the JC Hamiltonian as an interaction. We transform the later with $\hat U_{opt}$ to obtain a generalized interaction picture Hamiltonian which can be linearized and whose time evolution operator is written in a product form. The analytic results are compared with purely numerical calculations using the full Hamiltonian and the agreement between them is remarkable.

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L. Medina-Dozal, I. Ramos-Prieto, J. Récamier. 2020-08-09. Approximate evolution for a hybrid system: An optomechanical Jaynes-Cummings model. https://doi.org/10.3390/e22121373

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